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Finding the Fourth Proportional to 550,378.20, 824,546.70 and 313,015.80

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Solution

The fourth proportional to 550,378.20, 824,546.70 and 313,015.80 is: 468,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,378.20 : 824,546.70 = 313,015.80 : x
  2. Step 2: Convert to fraction form
    550,378.20/824,546.70 = 313,015.80/x
  3. Step 3: Cross multiply
    550,378.20x = 824,546.70 × 313,015.80
  4. Step 4: Simplify right side
    550,378.20x = 258,096,144,937.86
  5. Step 5: Solve for x
    x = 258,096,144,937.86/550,378.20
  6. Step 6: Final answer
    x = 468,943.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.